La curva 3 de la figura mostrada tiene la siguiente tabla de datos X1 X2 X3 27.7 28 29 30 F(x)4.1 4.3 4.1 3.0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Curve 3 of the figure shown has the following data table

 

The Lagrange polynomial is

El polinomio de Lagrange es
Seleccione una:
а.
0.094202898550725x3 – 8.645652173913044x? + 630297101449275x – 2650.282608695649
b.
0.094202898550725x3 + 8.645652173913044x? + 630297101449275x + 2650.282608695649
0.094202898550725x3 + 8.645652173913044x² + 630297101449275x – 2650.282608695649
Transcribed Image Text:El polinomio de Lagrange es Seleccione una: а. 0.094202898550725x3 – 8.645652173913044x? + 630297101449275x – 2650.282608695649 b. 0.094202898550725x3 + 8.645652173913044x? + 630297101449275x + 2650.282608695649 0.094202898550725x3 + 8.645652173913044x² + 630297101449275x – 2650.282608695649
La curva 3 de la figura mostrada tiene la siguiente tabla de datos
Хо
X1
X2
X3
27.7
28
29
30
F(x)4.1
4.3
4.1
3.0
f(x)
Slope -3
Slope 3
Slope -4
8
7
Slope 1
5
4
3
2
Curve 1
Curve 2
Curve 3
1
5
10
15
20
25
30
Transcribed Image Text:La curva 3 de la figura mostrada tiene la siguiente tabla de datos Хо X1 X2 X3 27.7 28 29 30 F(x)4.1 4.3 4.1 3.0 f(x) Slope -3 Slope 3 Slope -4 8 7 Slope 1 5 4 3 2 Curve 1 Curve 2 Curve 3 1 5 10 15 20 25 30
Expert Solution
Step 1: Formula used and given.

Formula: The Lagrange interpolation polynomial through the points x0, y0, x1, y1, x2, y2, x3, y3 is given by,

f(x)= (x-x1)(x-x2)(x-x3) (x0-x1)(x0-x2)(x0-x3)×y0+ (x-x0)(x-x2)(x-x3)(x1-x0)(x1-x2)(x1-x3)×y1+(x-x0)(x-x1)(x-x3)(x2-x0)(x2-x1)(x2-x3)×y2+ (x-x0)(x-x1)(x-x2)(x3-x0)(x3-x1)(x3-x2)×y3

Given:

 

x f(x)
27.7 4.1
28 4.3
29 4.1
30 3.0
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,